We investigate a quite strong turbulence in a supercritical fluid near a gas-liquid critical point. Specifically, we consider a case in which the Kolmogorov scale is much smaller than the equilibrium correlation length $\xi$. Although equilibrium critical fluctuations are destroyed by turbulence, $\xi$ still provides a crossover length scale between two types of energy cascade. At scales much larger than $\xi$, the Richardson cascade becomes dominant, whereas at scales much smaller than $\xi$, another type of cascade, which we call the van der Waals cascade, is induced by density fluctuations. Experimental conditions required to observe the van der Waals cascade are also discussed.

中文翻译：

---

临界点附近超临界湍流中的范德瓦尔斯级联

我们研究了气液临界点附近的超临界流体中相当强的湍流。具体来说，我们考虑 Kolmogorov 标度远小于均衡相关长度的情况$\xi$. 尽管平衡临界涨落被湍流破坏，$\xi$仍然提供了两种类型的能量级联之间的交叉长度尺度。在规模远大于$\xi$，理查森级联变得占主导地位，而在规模远小于 $\xi$，另一种类型的级联，我们称之为范德瓦尔斯级联，是由密度波动引起的。还讨论了观察范德瓦尔斯级联所需的实验条件。